A bunch of hotels order baked goods from bakeries that they have an agreement with. Your task is to write the Scheme code to answer certain queries given a database of hotels, bakeries, and baked goods.

1 Problem Description

You will extract different sorts of information from a database of bakeries, hotels, and baked goods. In Scheme, the database is encoded as a list of entries, with one entry for each bakery, one entry for each hotel and multiple entries for baked goods. Each entry will be a list in the following form:

(<good><bakery><price >) which indicates that <good> is a baked good which is sold for <price> at <bakery>.

(<bakery><deliverycost> (<good1> . . . <goodN>))

which indicates that <bakery> is a bakery which sells the baked goods <good1> <goodN> and the delivery of the goods to the hotel costs <delivery-cost>.

(<hotel> (<bakery1> . . . <bakeryN>) (<good1> . . . <goodN>))

which indicates that <hotel> is a hotel who has an agreement with bakeries <bakery1> <bakeryN> and wants to buy baked goods <good1> <goodN>.

( define GOODS

(

( borek hasanpasa 12)

( corek hasanpasa 4)

( kurabiye hasanpasa 15)

(pogaca aynali 3)

(kek aynali 5)

( simit aynali 2)

( kepekli istinye 6)

( simit istinye 3)

( portakalli istinye 3)))

( define BAKERIES

(

( hasanpasa 50 ( borek corek kurabiye ))

( aynali 60 (pogaca kek simit ))

( istinye 70 ( kepekli simit portakalli ))

( sariyer 80 ())))

( define HOTELS

(

( hilton ( hasanpasa istinye ) ( borek portakalli ))

( conrad ( aynali istinye ) ( simit kepekli ))

( hyatt ( aynali sariyer ) ( simit pogaca ))

(marmara () ())))

• All parts are required in all entries.
• If the bakery has no goods, then (<good1> <goodN>) is an empty list.
• If the hotel has no contract with any bakeries, then (<bakery1> <bakeryN>) is an empty list.
• If the hotel has no goods to buy, then (<good1> <goodN>) is an empty list.

After loading this define statements, you can treat BAKERIES, HOTELS and GOODS as lists whose values are the database lists.

2 Operations

2.1 Basic Queries

Write the following functions (use exactly the same name):

1. DELIVERY-COST: takes a single argument (a bakery) and returns the delivery cost of that bakery (e.g. 50 for (DELIVERY-COST hasanpasa)). Returns 0 for a bakery that does not exist in the database.
2. GOODS-AVAILABLE: takes a single argument (a bakery) and returns a list of baked goods that are sold by that bakery (e.g. (borek corek kurabiye)) for (GOODS-AVAILABLE hasanpasa)). Returns empty list for a bakery that does not exist in the database.
3. GOODS-INTERESTED: takes a single argument (a hotel) and returns a list of goods that it would like to buy (e.g. (borek portakalli)) for (GOODS-INTERESTED hilton)). Returns empty list for a hotel that does not exist in the database.
4. AGREED-BAKERIES: takes a single argument (a hotel) and returns a list bakeries that the hotel has an agreement with (e.g. (hasanpasa istinye)) for (AGREED-BAKERIES hilton)). Returns empty list for a hotel that does not exist in the database.

2.2 List Construction

• AGREED-HOTELS: takes a single argument (a bakery) and returns a list of hotels that have an agreement with that bakery (e.g. (hilton)) for (AGREED-HOTELS hasanpasa)). Returns empty list for a bakery that does not exist in the database.
• BOUGHT-BY: takes a single argument(a baked good) and returns a list of hotels that would like to buy that good (e.g. (conrad hyatt)) for (BOUGHT-BY simit)). Returns empty list for a baked good that does not exist in the database.

2.3 Price Calculation

• BEST-PRICE: takes a single argument (a baked good) and returns the minimum price for it. (e.g. 2) for (BEST-PRICE simit)). Returns empty list for a baked good that does not exist in the database. Check whether the baked good is actively sold by a bakery.
• WITHIN-BUDGET: takes two arguments (a min price and a max price) and returns the list of baked goods-bakery pairs which have sale price between these arguments (inclusive) and ordered by price (e.g. ((pogaca aynali) (simit istinye) (portakalli istinye) (corek hasanpasa) (kek aynali))) for (WITHIN-BUDGET 3 5)). Check whether the min price is less than or equal to the max price, show a message if it is not the case. Check whether the baked good is actively sold by a bakery.
• TOTAL-COST-GOOD takes two arguments (a hotel and a good) and returns the minimum cost of buying that baked good for the hotel. The hotel can buy the baked good from a bakery that has an agreement with the hotel and sells the baked good. The total cost is the sum of the sale price for that good and the delivery cost of the bakery (e.g. 62) for

(TOTAL-COST-GOOD conrad simit)). Check whether the baked good is actively sold by a bakery.

• TOTAL-COST-LIST: takes a single argument (a hotel) and returns the minimum total cost for buying all the baked goods in the hotels list. The delivery cost is calculated separately for each baked good. This means that, even if the hotel buys two baked goods from the same bakery, the hotel will pay separate delivery costs for each baked good (e.g. 0 for

(TOTAL-COST-LIST marmara), 138 for (TOTAL-COST-LIST conrad)). Check whether the baked good is actively sold by a bakery.